Convergence of dynamic programming principles for the p-Laplacian
del Teso, F., Manfredi, J. J., & Parviainen, M. (2022). Convergence of dynamic programming principles for the p-Laplacian. Advances in Calculus of Variations, 15(2), 191-212. https://doi.org/10.1515/acv-2019-0043
Julkaistu sarjassa
Advances in Calculus of VariationsPäivämäärä
2022Oppiaine
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Tekijänoikeudet
© 2020 Walter de Gruyter GmbH, Berlin/Boston
We provide a unified strategy to show that solutions of dynamic programming principles associated to the p-Laplacian converge to the solution of the corresponding Dirichlet problem. Our approach includes all previously known cases for continuous and discrete dynamic programming principles, provides new results, and gives a convergence proof free of probability arguments.
Julkaisija
De GruyterISSN Hae Julkaisufoorumista
1864-8258Asiasanat
Dirichlet problem dynamic programming principle discrete approximations asymptotic mean value properties convergence monotone approximations viscosity solution generalized viscosity solution equivalent notions of solutions numerical methods osittaisdifferentiaaliyhtälöt approksimointi numeeriset menetelmät
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https://converis.jyu.fi/converis/portal/detail/Publication/35081270
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Suomen AkatemiaRahoitusohjelmat(t)
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The first author is supported by the Toppforsk (research excellence) project Waves and Nonlinear Phenomena (WaNP), grant no. 250070 from the Research Council of Norway, and by the grant PGC2018-094522-B-I00 from the MICINN of the Spanish Government. The third author is supported by the Academy of Finland project no. 298641.Lisenssi
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